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From Wikipedia:

Fractal

"In mathematics, any of a class of complex geometric shapes that commonly have, a concept first introduced by the mathematician Felix Hausdorff in 1918." In mathematical jargon, a fractal is a subset of a Euclidean space for which the Hausdorff dimension strictly exceeds the topological dimension. Fractals tend to appear nearly the same at different levels, as is illustrated here in the successively small magnifications of the Mandelbrot set; Because of this,... Read More

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